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Using the interval $[0,2\pi )$, solve this multiple-angle equation to find its exact solutions.

$\sin { 2x\cos { x=0 } } $

A

$0,\pi ,\cfrac { \pi }{ 2 } ,\cfrac { 3\pi }{ 2 } $

B

$0,\pi $

C

$\cfrac { \pi }{ 2 } ,\cfrac { 3\pi }{ 2 } $

D

$0,\pi ,2\pi ,\cfrac { \pi }{ 2 } ,\cfrac { 3\pi }{ 2 } $

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